Answer:
Length = 4.88
Step-by-step explanation:
Given
[tex]MR = 6.8cm[/tex]
[tex]AS = 7cm[/tex]
First, we calculate the lengths of each side of the rhombus.
Diagonals of a rhombus are bisected at right-angled.
So, the lengths (x,y) of the right-angled triangle formed are:
[tex]x = \frac{1}{2}MR = \frac{1}{2} * 6.8 = 3.4[/tex]
[tex]y = \frac{1}{2}AS = \frac{1}{2} * 7 = 3.5[/tex]
The length of the sides (z) is calculated using:
[tex]z^2 = x^2 + y^2[/tex]
[tex]z^2 = 3.4^2 + 3.5^2[/tex]
[tex]z^2 = 11.56 + 12.25[/tex]
[tex]z^2 = 23.81[/tex]
Take square roots
[tex]z = \sqrt{23.81[/tex]
[tex]z = 4.88[/tex] --- approximated
